%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM405+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Mon Jul 18 15:55:23 EDT 2022 % Result : Theorem 0.18s 0.50s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM405+1 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n020.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Wed Jul 6 12:32:14 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.50 (* PROOF-FOUND *) % 0.18/0.50 % SZS status Theorem % 0.18/0.50 (* BEGIN-PROOF *) % 0.18/0.50 % SZS output start Proof % 0.18/0.50 Theorem t38_ordinal1 : (forall A : zenon_U, (~(forall B : zenon_U, ((ordinal B)->(in B A))))). % 0.18/0.50 Proof. % 0.18/0.50 apply NNPP. intro zenon_G. % 0.18/0.50 apply (zenon_notallex_s (fun A : zenon_U => (~(forall B : zenon_U, ((ordinal B)->(in B A))))) zenon_G); [ zenon_intro zenon_H21; idtac ]. % 0.18/0.50 elim zenon_H21. zenon_intro zenon_TA_bi. zenon_intro zenon_H23. % 0.18/0.50 apply zenon_H23. zenon_intro zenon_H24. % 0.18/0.50 generalize (s1_xboole_0__e2_43__ordinal1 zenon_TA_bi). zenon_intro zenon_H25. % 0.18/0.50 elim zenon_H25. zenon_intro zenon_TB_bm. zenon_intro zenon_H27. % 0.18/0.50 generalize (t37_ordinal1 zenon_TB_bm). zenon_intro zenon_H28. % 0.18/0.50 apply (zenon_notallex_s (fun B : zenon_U => ((in B zenon_TB_bm)<->(ordinal B))) zenon_H28); [ zenon_intro zenon_H29; idtac ]. % 0.18/0.50 elim zenon_H29. zenon_intro zenon_TB_bq. zenon_intro zenon_H2b. % 0.18/0.50 apply (zenon_notequiv_s _ _ zenon_H2b); [ zenon_intro zenon_H2f; zenon_intro zenon_H2e | zenon_intro zenon_H2d; zenon_intro zenon_H2c ]. % 0.18/0.50 generalize (zenon_H27 zenon_TB_bq). zenon_intro zenon_H30. % 0.18/0.50 apply (zenon_equiv_s _ _ zenon_H30); [ zenon_intro zenon_H2f; zenon_intro zenon_H32 | zenon_intro zenon_H2d; zenon_intro zenon_H31 ]. % 0.18/0.50 apply (zenon_notand_s _ _ zenon_H32); [ zenon_intro zenon_H33 | zenon_intro zenon_H2c ]. % 0.18/0.50 generalize (zenon_H24 zenon_TB_bq). zenon_intro zenon_H34. % 0.18/0.50 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H2c | zenon_intro zenon_H35 ]. % 0.18/0.50 exact (zenon_H2c zenon_H2e). % 0.18/0.50 exact (zenon_H33 zenon_H35). % 0.18/0.50 exact (zenon_H2c zenon_H2e). % 0.18/0.50 exact (zenon_H2f zenon_H2d). % 0.18/0.50 generalize (zenon_H27 zenon_TB_bq). zenon_intro zenon_H30. % 0.18/0.50 apply (zenon_equiv_s _ _ zenon_H30); [ zenon_intro zenon_H2f; zenon_intro zenon_H32 | zenon_intro zenon_H2d; zenon_intro zenon_H31 ]. % 0.18/0.50 exact (zenon_H2f zenon_H2d). % 0.18/0.50 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H35. zenon_intro zenon_H2e. % 0.18/0.50 exact (zenon_H2c zenon_H2e). % 0.18/0.50 Qed. % 0.18/0.50 % SZS output end Proof % 0.18/0.50 (* END-PROOF *) % 0.18/0.50 nodes searched: 523 % 0.18/0.50 max branch formulas: 433 % 0.18/0.50 proof nodes created: 80 % 0.18/0.50 formulas created: 2774 % 0.18/0.50 %------------------------------------------------------------------------------